Partitioning is 10x slower when using NETWORK_SIMPLEX as nodePlacement strategy.

[alexei-tilikin]

Hello,

I have an example of a graph with 100 nodes and ~230 edges that reproduces an order of magnitude difference in running time when comparing nodePlacement strategy NETWORK_SIMPLEX to the default BRANDES_KOEPF. The goal was to pre-compute partition numbers for each node with my own algorithm and let ELK process that.

The problem is reproducible on the elk-live, but the graph is too large to encode into the URL, so I'll attach it here.

I'm using elkjs@0.7.1, but the problem seems to persist also in 0.8.1 When running this graph with NETWORK_SIMPLEX it takes around 7.5 seconds to complete. If I switch nodePlacement strategy to BRANDES_KOEPF, the runtime drops below 800ms.

I tried changing the other parameters, they make the time vary within 1-second range. I'd prefer to stay with NETWORK_SIMPLEX because somehow it tends to produce a more compact graph removing unnecessary gaps between nodes and layers. Is there any particular reason why NETWORK_SIMPLEX doesn't seem to like heavy partitioning configurations?

Any suggestions on improving the runtime are appreciated. Thank you!

[alexei-tilikin]

The graph JSON:

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    "hierarchyHandling": "INCLUDE_CHILDREN",
    "elk.direction": "DOWN",
    "elk.alignment": "TOP",
    "elk.portAlignment.default": "CENTER",
    "elk.layered.layering.strategy": "NETWORK_SIMPLEX",
    "elk.layered.cycleBreaking.strategy": "GREEDY",
    "elk.layered.crossingMinimization.strategy": "LAYER_SWEEP",
    "elk.layered.nodePlacement.strategy": "NETWORK_SIMPLEX", //"BRANDES_KOEPF",
    "elk.layered.considerModelOrder.strategy": "NODES_AND_EDGES",
    "elk.layered.nodePlacement.networkSimplex.nodeFlexibility.default": "NONE",
    "elk.layered.layering.nodePromotion.strategy": "NONE",
    "elk.layered.compaction.postCompaction.strategy": "NONE",
    "elk.partitioning.activate": true,
    "edgeRouting": "ORTHOGONAL"
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}

[soerendomroes]

I can replicate your issue in ELK, however, partition has no direct impact on NETWORK_SIMPLEX. I suspect that this graph is just particularly hard for NETWORK_SIMPLEX to solve. Have you tried to use the MODEL_ORDER cycle breaking instead of partitions to reverse the correct edges? I the problem persists, it has indeed nothing to do with partition but with the node placement strategy. Either way I suggest to open a ticket at ELK, since this problem is not elkjs specific.

[alexei-tilikin]

This graph takes only 1.2 seconds to resolve with NETWORK_SIMPLEX if partitioning is disabled. When I enable partitioning, the runtime will increase proportionally to how many nodes have a defined partition number. For example, setting only 2 nodes, adds some 200ms, but setting all 100 nodes will get us to the whole 7.5 seconds. So I still have a feeling there's a collision between NETWORK_SIMPLEX and partitioning algorithms.

MODEL_ORDER actually added some more time, reaching almost 9 seconds. I changed to GREEDY because it was the fastest option. Will open a ticket on ELK. Thanks!

[soerendomroes]

Model order cycle breaking faster than greedy cycle breaking. The resulting graph, however, is different and is in your case more complicated for NETWORK_SIMPLEX. This is why it will be hard to fix this issue since I don't have a minimal example graph that makes NETWORK_SIMPLEX slow.

[alexei-tilikin]

@soerendomroes I tried my luck with removing nodes and edges randomly. I managed to reduce the graph to 75 nodes and 128 edges. Now the comparison between the nodePlacement strategies is as follows: NETWORK_SIMPLEX: avg 1.3 seconds BRANDES_KOEPF: avg 0.5 seconds

I also switched to MODEL_ORDER here. Not sure if it helps. Further removing data from the graph makes the runtime difference to small to rely on.

Here's the graph:

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    "elk.layered.crossingMinimization.strategy": "LAYER_SWEEP",
    "elk.layered.nodePlacement.strategy": "NETWORK_SIMPLEX", //BRANDES_KOEPF
    "elk.layered.considerModelOrder.strategy": "NONE",
    "elk.layered.nodePlacement.bk.edgeStraightening": "NONE",
    "elk.layered.nodePlacement.bk.fixedAlignment": "LEFTUP",
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}